The electric circuits I II are the important courses in electrical and electronic engineering, as well as electricity and magnetism. Electric circuits I focuses the fundamentals of circuit analysis based on Kirchhoff's laws and discusses electrical responses of electric circuit, e.g. attenuation, oscillation, and resonance. The course shows the systematic description of electrical circuits by using Laplace’s transform can draw the transient response and frequency characteristic easily. Also, the usefulness of complex expression and vector expression in AC circuits is discussed.
This course aims to provide basic knowledge of electric circuits; the fundamental natures of electrical elements, the fundamentals of circuit analysis based on Kirchhoff's laws and Laplace transform, the fundamental expression method, using complex expression, vector expression, and to solve the basic equations for the electric circuits.
At the end of this course, students will be able to acquire the following ability.
1) Can make basic circuit’s equations.
2) Can explain the nature of electrical elements.
3) Can use of Laplace’s transform and solve the circuit’s equations using it.
4) Can obtain the transient response of electrical circuits.
5) Can express and solve the AC circuits by using the complex expression and the vector expression.
Corresponding educational goals are:
(1) Specialist skills Fundamental specialist skills
(6) Firm fundamental specialist skills on electrical and electronic engineering, including areas such as electromagnetism, circuits, linear systems, and applied mathematics
Ohm’s law, theory of superposition, Thevenin's theorem, Kirchhoff's laws, resistance, capacitance, inductance, charge reservation, interlinkage magnetic flux reservation, network equation, Laplace’s transform, inverse Laplace’s transform, transient response, AC circuits, complex number, vector expression, Euler’s formula, impedance, admittance, resonant circuit, transformer
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
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- | - | ✔ | - | - |
Students must read the appointed part of the lecture note uploaded in OCW-I, before coming to the class. Students must make the report to the tasks shown in previous class and submit it at the class. Simulators will be used in the class or for the home works. MATLAB and LT spice should be installed in student’s PCs.
Course schedule | Required learning | |
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Class 1 | Introduction | Can explain how electric circuits are used. |
Class 2 | DC circuits -- Kirchhoff's laws -- | Can explain the Ohm’s law and the Kirchhoff's laws. |
Class 3 | DC circuits -- DC circuit networks -- | Can explain the theory of superposition and Thevenin's theorem. In addition, can solve the DC circuit networks by using the circuit’s laws. |
Class 4 | Capacitor and inductor | Can explain the electric characteristics and can solve the circuits containing resistors and inductors, by using charge reservation and interlinkage magnetic flux reservation law. |
Class 5 | Fundamental responses of electrical elements | Can explain the fundamental responses of electrical elements; resistors, capacitors, and inductors and complex expression and Euler’s formula. |
Class 6 | Summary and confirmation of study until then | Summarize and check the study until then; DC circuit networks, nature and basic response of electrical elements. |
Class 7 | Laplace’s transform | Can explain Laplace’s transform and Inverse Laplace’s transform and describe the s-domain description of electrical elements. |
Class 8 | Transient response -- 1st order circuits -- | Can solve the transient response of the 1st order circuits by using Laplace’s transform. |
Class 9 | Transient response -- 2nd order circuits -- | Can solve the transient response of the 2nd order circuits by using Laplace’s transform. |
Class 10 | Summary and confirmation of study until then | Summarize and check the study until then; Laplace’s transform and draw the transient response of electrical circuits using Laplace’s transform. |
Class 11 | Sinusoidal wave and complex expression | Can explain the response to the sinusoidal wave in electric circuits and complex expression. |
Class 12 | Impedance and Admittance and vector expression | Can explain the impedance, the admittance, and vector expression. |
Class 13 | Impedance and Admittance and their applications | Can calculate the circuit characteristics. |
Class 14 | Resonant circuits | Can explain the electrical characteristics of the resonant circuits and explain them. |
Class 15 | Transformer and its application | Can explain the transformer. |
The textbook is provided by PDF file on OCW-i.
Course materials can be found on OCW-i.
Student’s course scores are conducted based on the due reports (30%), checks of understanding (35%), and final examination (35%).
No prerequisite.
E-mail: pham.n.ab[at]m.titech.ac.jp, yamada.a.ac[at]m.titech.ac.jp
Contact by e-mail advance to schedule an appointment and come to professor’s office.